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381285180 = 2232517532351
BaseRepresentation
bin10110101110011…
…111001100111100
3222120110021221100
4112232133030330
51240102111210
6101500133100
712306604413
oct2656371474
9876407840
10381285180
11186253221
12a7837190
1360cbb143
14388d247a
15237185c0
hex16b9f33c

381285180 has 144 divisors (see below), whose sum is σ = 1248234624. Its totient is φ = 93849600.

The previous prime is 381285169. The next prime is 381285187. The reversal of 381285180 is 81582183.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381285187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161005 + ... + 163355.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2381285180 is an apocalyptic number.

381285180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381285180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624117312).

381285180 is an abundant number, since it is smaller than the sum of its proper divisors (866949444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

381285180 is a wasteful number, since it uses less digits than its factorization.

381285180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 381285180 is about 19526.5250364728. The cubic root of 381285180 is about 725.1312833997.

The spelling of 381285180 in words is "three hundred eighty-one million, two hundred eighty-five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 53 60 68 85 90 102 106 153 159 170 180 204 212 255 265 306 318 340 477 510 530 612 636 765 795 901 954 1020 1060 1530 1590 1802 1908 2351 2385 2703 3060 3180 3604 4505 4702 4770 5406 7053 8109 9010 9404 9540 10812 11755 13515 14106 16218 18020 21159 23510 27030 28212 32436 35265 39967 40545 42318 47020 54060 70530 79934 81090 84636 105795 119901 124603 141060 159868 162180 199835 211590 239802 249206 359703 373809 399670 423180 479604 498412 599505 623015 719406 747618 799340 1121427 1199010 1246030 1438812 1495236 1798515 1869045 2118251 2242854 2398020 2492060 3597030 3738090 4236502 4485708 5607135 6354753 7194060 7476180 8473004 10591255 11214270 12709506 19064259 21182510 22428540 25419012 31773765 38128518 42365020 63547530 76257036 95321295 127095060 190642590 381285180